G-Networks with Adders

Fourneau, Jean-Michel; Gelenbe, Erol

doi:10.3390/fi9030034

Cited by 24 publications

(21 citation statements)

References 27 publications

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“…We also hope that this present paper can provide some insights and a way forward for future research in are identical for all classes of customers. It has been developed in a series of papers from [6] to [7]. The model we will describe here corresponds to a multi-class G-Network with Batch Removal [13] which also includes the effect of Triggers [29].…”

Section: Discussionmentioning

confidence: 99%

An Energy Packet Network model for mobile networks with energy harvesting

Gelenbe

Abdelrahman

2018

NOLTA

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Mobile communications are a powerful contributor to social and economic development worldwide, including in less developed or remote parts of the world. However they are large users of electricity through their base stations, backhaul networks and Cloud servers, so that they have a large environmental impact when they use the electric grid. On the other hand, they could operate with renewable energy sources and thus reduce their CO2 impact and be accessible even in areas where the electric grid is unavailable or unreliable. The counterpart is that intermittent sources of energy, such as photovoltaic and wind, can affect the quality of service (QoS) that is experienced by mobile users. Thus in this paper we model the performance of mobile telecommunications that use intermittent and renewable energy sources. In such cases to analyse the performance of such systems, both the energy supply and the network traffic, can be modeled as random processes, and we develop mathematical models using the Energy Packet Network paradigm, where both data and energy flows are discretised. QoS metrics for the users are computed based on the traffic intensity and the availability of energy.

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Section: Discussionmentioning

confidence: 99%

An Energy Packet Network model for mobile networks with energy harvesting

Gelenbe

Abdelrahman

2018

NOLTA

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“…There are also other G-network models. For instance, G-networks with "resets" [42,70], with "adders" [20] and with restarts [22,23], which have been developed and adopted in a number of applications in computer systems modeling and other fields.…”

Section: G-networkmentioning

confidence: 99%

G-Networks and the Performance of ICT with Renewable Energy

Zhang

2020

SN COMPUT. SCI.

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As a consequence of developing information and communication technology that is playing a significant role in our society and has changed our life dramatically, we witnessed a significant increase in energy consumption in computer systems and networks. Subsequently, energy harvesting technologies with renewable energy are of great interest in the field of computer systems and networks, and thus lead to abundant research which has been carried out to address energy harvesting from different aspects. However, the majority of them focuses on wireless or small-scale networks, which left wired networks with a general structure neglected. We first present a comprehensive systemic review of the trends of overall energy consumption, and energy and quality of service optimization in computer systems and networks. Then, this paper reviews the recent research progress in G-networks and energy packet networks with renewable and intermittent energy from both the system paradigms and the performance optimization and energy reduction algorithms for the wired networks.

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“…service times at each queue with rate µ(i) ≥ 0 for the i − th queue, in which customers are either "positive" or ordinary customers which request and receive service, or they are "signals" [27]. Signals may be negative customers, triggers, resets or adders, as discussed in a series of papers [28,29,30,31]. In this paper we only consider those signals which are triggers or which are negative customers with batch removal.…”

Section: The G-network Modelmentioning

confidence: 99%

G-Networks and the Optimization of Supply Chains

Wang¹

2019

Prob. Eng. Inf. Sci.

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Supply chains are fundamental to the economy of the world and many supply chains focus on perishable items, such as food, or even clothing that is subject to a limited shelf life due to fashion and seasonable effects. G-networks have not been previously applied to this important area. Thus in this paper, we apply G-networks to supply chain systems and investigate an optimal order allocation problem for a N-node supply chain with perishable products that share the same order source of fresh products. The objective is to find an optimal order allocation strategy to minimize the purchase price per object from the perspective of the customers. An analytical solution based on G-networks with batch removal, together with optimization methods are shown to produce the desired results. The results are illustrated by a numerical example with realistic parameters.

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G-Networks with Adders

Cited by 24 publications

References 27 publications

An Energy Packet Network model for mobile networks with energy harvesting

An Energy Packet Network model for mobile networks with energy harvesting

G-Networks and the Performance of ICT with Renewable Energy

G-Networks and the Optimization of Supply Chains

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